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Finding the Fourth Proportional to 11,595.60, 17,389.27 and 4,198.14

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Solution

The fourth proportional to 11,595.60, 17,389.27 and 4,198.14 is: 6,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.60 : 17,389.27 = 4,198.14 : x
  2. Step 2: Convert to fraction form
    11,595.60/17,389.27 = 4,198.14/x
  3. Step 3: Cross multiply
    11,595.60x = 17,389.27 × 4,198.14
  4. Step 4: Simplify right side
    11,595.60x = 73,002,589.96
  5. Step 5: Solve for x
    x = 73,002,589.96/11,595.60
  6. Step 6: Final answer
    x = 6,295.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.